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Finding the Fourth Proportional to 1,245,983.70, 1,868,975.55 and 820,830.90

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Solution

The fourth proportional to 1,245,983.70, 1,868,975.55 and 820,830.90 is: 1,231,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,983.70 : 1,868,975.55 = 820,830.90 : x
  2. Step 2: Convert to fraction form
    1,245,983.70/1,868,975.55 = 820,830.90/x
  3. Step 3: Cross multiply
    1,245,983.70x = 1,868,975.55 × 820,830.90
  4. Step 4: Simplify right side
    1,245,983.70x = 1,534,112,882,784.50
  5. Step 5: Solve for x
    x = 1,534,112,882,784.50/1,245,983.70
  6. Step 6: Final answer
    x = 1,231,246.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.